**Super Tough Armin?**

**Scene 2**

Height: 163 cm

Weight: 55 kg

What's Wrong

How to Fix

this Scene

Armin Arlelt

The Fall

Hitting the Wall

- No serious injuries

Force of Armin hitting the wall = 16,795.8 N

Force it takes to break a femur = ~4,000 N

25% chance of cracking ribs = ~3,300 N

- Reduce Armin's speed

when he was flying through the air

-Armin suffers from serious injuries

63kg

63kg

Assumed weight = 8kg

**Attack on Titan:**

**Disproving the physics**

**Scene 1**

**The wall has gravity?**

Explanation of what just happened

Calculations

How to Fix it

Why Physics was defied

Calculations

**Scene 3**

**Sasha**

Height: 168 cm

Weight: 55 kg

Height: 168 cm

Weight: 55 kg

Assumptions:

It is impossible to do a front flip while running down a vertical surface and continue running down the wall

Samuel and Sasha were falling slower than the speed of gravity without any other forces acting against gravity

Her sudden deceleration with her anchors could have ripped her body in half

Sasha fell to about the height of 40m before stopping.

Gravity is the same as Earth's gravity

The wall is perfectly vertical

The assumed distances traveled are correct

The following information is correct

Let Samuel Die

The front flip was unnecessary, or she could have anchored herself to the wall while doing the front flip

Sasha immediately saving Samuel, as it takes Samuel 3.2 seconds to realistically fall 50m

Both Samuel and Sasha need to fall faster

Wall:50m tall

10m

20m

30m

40m

Samuel

Sasha

Distance from wall

25m

Δt=18 seconds

Samuel

Fg=(65kg)(9.8m/s)

Fg=637N[Down]

FA

Fg=(55kg)(9.8m/s)

Fg=539N[Down]

Applied Force

Normal Force

Free body diagrams

Sasha

Fg=(55kg)(9.8m/s)

Fg=539N[Down]

Applied Force

Normal Force

Sasha

Fg=(55kg)(9.8m/s)

Fg=539N[Down]

Applied Force

Normal Force

Sasha

??

Magic Force?

??

Magic Force?

??

Samuel

Fg=(65kg)(9.8m/s)

Fg=637N[Down]

FA

V1=0

Δt=0.6 seconds

Δd=2 meters

a=?

1m

Δd=v1Δt+0.5a(t)^2

(2m)=(0)Δt+0.5(a)(0.6)^2

2 = 0.5a(0.6)^2

a = 2/0.5(0.6)^2

a = roughly 11m/s^2

f=ma

f= 55kg * 11m/s^2

f= 605N

Wait... the numbers don't match up!

Δd=30m

Δt =18s

v1= 0

v2=?

a=-9.8m/s^2

Samuel

Fg=(65kg)(9.8m/s)

Fg=637N[Down]

FA

Δd=v1Δt+0.5a(t^2)

30m=(0)Δt+0.5(9.8m/s)(t)^2

30=-4.9(t)^2

t=(30/4.9)^1/2

t= roughly 2.5s

Solving for time

**Sasha**

Height: 168 cm

Weight: 55 kg

Height: 168 cm

Weight: 55 kg

Solving for Acceleration

Δd=v1Δt+0.5a(t^2)

30m=0Δt+0.5a(18)^2

30=0.5a(324)

a=roughly 0.185m/s^2

Solving for Distance

Δd=v1Δt+0.5a(t^2)

Δd=(0)Δt+0.5(9.8)(18^2)

Δd=4.9(324)

Δd=1587.6m [Down]

The numbers don't make sense for Sasha either!

Δd=15m

Δt =6s

v1= 0

v2=?

a=?

Solving for Acceleration

Δd=v1Δt+0.5a(t^2)

15m=0Δt+0.5a(6)^2

15=0.5a(36)

a=roughly 0.83m/s^2

Fg=(55kg)(9.8m/s)

Fg=539N[Down]

Applied Force

Normal Force

Sasha

How long does it take for Samuel to reach the ground?

Δd=v1Δt+0.5a(t^2)

50m =(0)Δt+0.5(9.8)(t^2)

t=[2(50)/9.8]^1/2

t=roughly 3.2 seconds

**Possibly inertia-less?**

Why Physics was defied

Here Sasha is flying toward the ground at a high speed and is somehow able to stop and fly straight up perpendicular to the ground.

Angle of titan

Correct Path

Combined vector

Actual direction of Flight

9.8 m/s^2

47 degrees

Horizontal Acceleration = 9.8/tan47degrees

= 9.14m/s^2

Horizontal Force = ma

= 55kg * 9.14m/s^2

= 502.62N

Conclusion

Therefore it has been shown that it is impossible for her to be able to stop and go shooting straight up, when she was initially traveling at an angle of 47 degrees.

Calculations

Assumptions

Fg

Fg

Fa

Angle of Sasha to be 47 degrees

That it was not a trick of the camera angle

9.14m/s^2

Magic Force that shouldn't exist in this plane of reality

= not being able to get up afterwords

-fall acceleration = less than 9.8 m/s2

That information collected is correct

This mean that the Magic force that stopped Sasha was -737 N. But wait! This makes no sense at all. Remember!? Sasha was about half a meter off the ground when she stopped! So how was the force applied to her to slow down and stop?

(~7.41m/s2)

Combined Vector Force= a^2=(502.62)^2+ (55*9.8)^2

=252626.8644+290521

=Square root (543147.8644)

=736.98 or 737 N of force

-landed on tail bone

-no spinal injuries

-no fractures/sprains/etc.

No injuries from fall:

Conclusion

Thank you all for listening to us as we worked to disprove the Physics behind some scenes in Attack on Titan

Hope you enjoyed it!

& possibly being eaten by titans

-Armin is Superman

16,795.8 N is

nothing to me!

Assumptions Taken into Account:

Total mass (Armin + gear) = 63kg

Non-parabolic motion due to 3D maneuver gear

No air resistance

t=1.8s during the fall (its not 1 constant scene)

Gravity = 9.8m/s^2

-Change the amount

of time he took to fall

Calculations

Free-Body Diagrams